Not sure which one it is

Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.

Inessa05 [86]

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

AB = a - 0 = a, CD = a
AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

x = a, y = b

<u>Now the diagonals:</u>

AC = √(a-0)² + (b-0)² = √a²+b²
BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0

3 years ago

Read 2 more answers

Just write some random stuff and get points

Tanya [424]

I like pizza pizza is good for my health

8 0

3 years ago

Write a equation for the line parallel to

Llana [10]

Paralell has same slope
y=mx+b
m=slope
b=yint

same slope so other equation is
y=4x+b

input given point
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8 both sides
-8=b

the equation is y=4x-8

8 0

3 years ago

Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?

lesya [120]

The congruency statement which is true among the answer choices is;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

<h3>Which congruency statement is true?</h3>

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.